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Simplifying 4(6v + -5) = -5(-5v + 7) Reorder the terms: 4(-5 + 6v) = -5(-5v + 7) (-5 * 4 + 6v * 4) = -5(-5v + 7) (-20 + 24v) = -5(-5v + 7) Reorder the terms: -20 + 24v = -5(7 + -5v) -20 + 24v = (7 * -5 + -5v * -5) -20 + 24v = (-35 + 25v) Solving -20 + 24v = -35 + 25v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-25v' to each side of the equation. -20 + 24v + -25v = -35 + 25v + -25v Combine like terms: 24v + -25v = -1v -20 + -1v = -35 + 25v + -25v Combine like terms: 25v + -25v = 0 -20 + -1v = -35 + 0 -20 + -1v = -35 Add '20' to each side of the equation. -20 + 20 + -1v = -35 + 20 Combine like terms: -20 + 20 = 0 0 + -1v = -35 + 20 -1v = -35 + 20 Combine like terms: -35 + 20 = -15 -1v = -15 Divide each side by '-1'. v = 15 Simplifying v = 15
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